SOLUTION: Please help me solve this equation: {{{ 2x^2-5x+3=0 }}}

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Question 223749: Please help me solve this equation: +2x%5E2-5x%2B3=0+
Found 2 solutions by drj, edjones:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation: +2x%5E2-5x%2B3=0+

Use the quadratic formula to solve this and given below as

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

where a=2, b=-5 and c=3

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B-5x%2B3+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-5%29%5E2-4%2A2%2A3=1.

Discriminant d=1 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--5%2B-sqrt%28+1+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-5%29%2Bsqrt%28+1+%29%29%2F2%5C2+=+1.5
x%5B2%5D+=+%28-%28-5%29-sqrt%28+1+%29%29%2F2%5C2+=+1

Quadratic expression 2x%5E2%2B-5x%2B3 can be factored:
2x%5E2%2B-5x%2B3+=+2%28x-1.5%29%2A%28x-1%29
Again, the answer is: 1.5, 1. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-5%2Ax%2B3+%29



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2-5x+3=0
2*3=6 what 2 factors of 6 add up to -5? -2 and -3
2x^2-2x-3x+3=0
2x(x-1)-3(x-1)=0
(2x-3)(x-1)=0
.
2x-3=0
2x=3
x=3/2
.
x-1=0
x=1
.
Ed